论文信息 - International trade and the possible occurrence of chaos

International trade and the possible occurrence of chaos

Abstract The paper demonstrates that international trade among fluctuating economies may involve the occurrence of a strange attractor and hence of chaos. Once autonomous economies display cyclical behavior, international trade activities can be considered as a perturbation of the motion of the autonomous economies, possible implying chaos via a theorem by Newhouse, Ruelle and Takens (1979).

Hans-Walter Lorenz | H. Lorenz

[1] J. Eckmann. Roads to turbulence in dissipative dynamical systems , 1981 .

[2] Richard H. Day,et al. The Emergence of Chaos from Classical Economic Growth , 1983 .

[3] R. Day. Irregular Growth Cycles , 2016 .

[4] Richard H. Day,et al. Ergodic fluctuations in deterministic economic models , 1987 .

[5] F. Takens,et al. Occurrence of strange AxiomA attractors near quasi periodic flows onTm,m≧3 , 1978 .

[6] V. Torre. Existence of Limit Cycles and Control in Complete Keynesian System by Theory of Bifurcations , 1977 .

[7] Hans-Walter Lorenz,et al. Business Cycle Theory , 1987 .

[8] Winston W. Chang,et al. The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined , 1971 .

[9] Hans-Walter Lorenz,et al. Strange attractors in a multisector business cycle model , 1987 .

[10] Jean-Michel Grandmont,et al. On Endogenous Competitive Business Cycles , 1985, Cycles and Chaos in Economic Equilibrium.

[11] M. Hirsch,et al. Differential Equations, Dynamical Systems, and Linear Algebra , 1974 .

[12] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[13] Michael J. Stutzer,et al. Chaotic dynamics and bifurcation in a macro model , 1980 .